(25)!!!!!
Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
Sidewalk 1
x y
2 7
0 3
Sidewalk 2
x y
1 5
3 3
(a)Write the equation for Sidewalk 1 in slope-intercept form.
(b)Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.
(c)Is the system of equations consistent independent, coincident, or inconsistent? Explain.
(d)If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.

Helpppppp!! answer it who takes this test

Answer:

a. 50 degrees

b. 130 degrees

c. 180 degrees

d. 230 degrees

a. 50°

b. 130°

c. 180°

d. 230°

geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚

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If the average GPA of juniors, seniors, and graduate students in your class differ, you should use a one-way ANOVA test. This is the proper statistical test used to compare the average GPAs of different groups.

ANOVA is used to test whether there are any significant differences between the means of three or more independent groups. In this case, we have three independent groups (juniors, seniors, and graduate students) and we want to determine whether their average GPAs differ significantly by  proper statistical test.

If the ANOVA test indicates that there are significant differences between the means, we can use post-hoc tests (such as Tukey's test or Bonferroni's test) to determine which specific group means differ significantly.

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The possible values of the random variable Y are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

When two balanced dice are rolled, the possible values of the random variable Y, which represents the sum of the dice, can range from 2 to 12.

The minimum sum is obtained when both dice show the minimum value, which is 1. Thus, the minimum sum is 1 + 1 = 2.

The maximum sum is obtained when both dice show the maximum value, which is 6. Thus, the maximum sum is 6 + 6 = 12.

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The defining feature of an experiment are manipulation, control , random assignment, and random selection.

Experiment:

Basically, any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space or experiment.

Given,

Here we have to identify the defining feature of the experiment.

While we looking into the given question, the true experiments have four elements: manipulation, control , random assignment, and random selection.

And the most important of these elements are manipulation and control. Where Manipulation means that something is purposefully changed by the researcher in the environment.

Therefore, the key defining feature of an experiment is that it there is active manipulation of independent variables and monitoring of dependent variables.

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Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

The single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)

From the figure, we have the following highlights

The above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.

This is represented as:

(x,y) -> (x - 5, y - 5)

By vector representation, we have:

\(\left[\begin{array}{c}-5&-5\end{array}\right]\)

Hence, the single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)

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The value of AB in the geometry is 24 units.

According to the diagram,

BD ≅ BC

BD = 5x - 26

BC = 2x + 1

AC = 43

Therefore, the value of AB can be found using the knowledge of geometry.

BD = BC

5x - 26 = 2x + 1

5x  - 2x = 1 + 26

3x = 27

divide both sides by 3

x = 27 / 3

x = 9

Therefore,

BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19

AC = BC + AB

AB = AC - BC

AB = 43 - 19

AB = 24 units

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With a significance level of 0.025 (two-tailed), we divide it by 2 to get 0.0125 for a one-tailed test.

If the p-value is less than the significance level of 0.0125, we reject the null hypothesis.

a. The appropriate null and alternative hypotheses for this scenario are as follows:

- Null hypothesis (H₀): The average number of days required to fill customers' orders is six or less.

- Alternative hypothesis (H₁): The average number of days required to fill customers' orders is greater than six.

b. To determine if the operations manager can conclude that the mail-order business is achieving its goal, we need to perform a one-sample t-test. Given a sample size of 40, an average of 6.65 days, and a sample standard deviation of 1.5 days, we can calculate the t-value and compare it to the critical value. With a significance level of 0.025 (two-tailed), we divide it by 2 to get 0.0125 for a one-tailed test.

c. To calculate the p-value for this test, we compare the t-value obtained from the sample data to the t-distribution with degrees of freedom (df) equal to the sample size minus 1 (df = 40 - 1 = 39). By finding the area under the t-distribution curve beyond the calculated t-value, we can determine the p-value. The p-value represents the probability of obtaining a sample mean at least as extreme as the observed mean, assuming the null hypothesis is true. If the p-value is less than the significance level of 0.0125, we reject the null hypothesis.

d. To obtain the critical value that the operations manager can compare the sample mean to, we need to determine the value from the t-distribution corresponding to the chosen significance level and degrees of freedom. With a significance level of 0.025 (two-tailed) and degrees of freedom of 39, we can refer to the t-distribution table or use statistical software to find the critical value. The critical value serves as a threshold, and if the sample mean exceeds this value, it provides evidence to reject the null hypothesis.

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The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Answer:

C

Step-by-step explanation:

the basic triangle is 2 units high, and 5/6 units long.

for C to be made of 2 such triangles, each would have to be 6/8 units long. that is a contradiction.

The parallelogram cannot be a result of the given composition. Therefore, option C is the correct answer.

Given that, two copies of this triangle are used to compose a parallelogram.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.

Now,

Option A: When we divide parallelogram A into two triangles which are matching with the given triangle.

Option B: When we divide parallelogram B into two triangles which are matching with the given triangle.

Option C: When we divide parallelogram C into two triangles which are not matching with the given triangle.

Option D: When we divide parallelogram D into two triangles which are matching with the given triangle.

The parallelogram cannot be a result of the given composition. Therefore, option C is the correct answer.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

30 pages a day

Step-by-step explanation:

Answer:

120 pages in 4 days can be turned into this mathematical expression: 120/4.

120/4 = 30/1 = 60/2 = 90/3.

Therefore, "B. 60 pages in 2 days" is the correct answer.

Step-by-step explanation:

Answer:

The answer to Y/X is 4/1

Answer: $4,000

Step-by-step explanation:

If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.

Hope this answer helps! :)

Answer:

2

Step-by-step explanation:

combine like denominators:

(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)

factor:

(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)

reduce:

(1-x^2)+(x^2+1)

1+1=2

SOLUTION

Let us plot the graph of

This becomes

Step-by-step explanation:

6 + 7

8 1

6

6 + 56 = 62 = 7 __

8 8 8

The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

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Answer:

\(\frac{1}{32 m^{15} n^{35}}\)

Step-by-step explanation:

\((2m^3n^7)^{-5}\)

= \(2^{-5} m^{-15} n^{-35}\)

= \(\frac{1}{2^{5} m^{15} n^{35}}\)

=\(\frac{1}{32 m^{15} n^{35}}\)

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.

The shaded part will have a the interval; starting from just after 3.5 units and ending just before 4 units, which satisfies the given conditions.

According to the given instructions, the shading will contain the point

Point A and point B are approximately 7 cm apart.

Counting from point A we have that

"Less than 4 cm from A" would be from 0 to just before 4.

"Closer to B than to A" would be more than 3.5 units.

Since 3.5 units is halfway between point A and point B, the shaded part of the figure will be 3.5 < x < 4, where x represents the width of the shaded part

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The equivalent value of the expression is y = 3

Given data ,

Let the expression be represented as A

Now , the value of A is

A = -5y plus 4 equals -11

-5y + 4 = -11

Adding 5y on both sides , we get

5y - 11 = 4

Adding 11 on both sides , we get

5y = 15

Divide by 5 on both sides , we get

y = 3

Hence , the expression is y = 3

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Answer:

-8i

Step-by-step explanation:

Answer:

(-8 - 3i) - (-8 + 5i) = −8i

Step-by-step explanation:

Answer:

Should be 20.

Step-by-step explanation:

360-120=240

240/12=20

the question is about porportionality

y=kx

120=k(12)

k=120/12

k=10

360=10(x)

360=10x

x=360/10

x=36

Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.

The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.

The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:

MF/MN = ME/ML

Plug in the values

MF/124 = (31 - 19)/31

MF/124 = 12/31

MF = (12 × 124)/31

MF = 48 cm

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Answer:21:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its AAS

two angle and the side is the middle line they connect by !